10019833129744 has 45 divisors (see below), whose sum is σ = 19738418345919. Its totient is φ = 4927406935680.

The previous prime is 10019833129741. The next prime is 10019833129799. The reversal of 10019833129744 is 44792133891001.

The square root of 10019833129744 is 3165412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9437798410000 + 582034719744 = 3072100^2 + 762912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10019833129691 and 10019833129700.

It is not an unprimeable number, because it can be changed into a prime (10019833129741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 772354042 + ... + 772367014.

Almost surely, 2^{10019833129744} is an apocalyptic number.

10019833129744 is the 3165412-nd square number.

It is an amenable number.

10019833129744 is a deficient number, since it is larger than the sum of its proper divisors (9718585216175).

10019833129744 is an frugal number, since it uses more digits than its factorization.

10019833129744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10019833129744 in words is "ten trillion, nineteen billion, eight hundred thirty-three million, one hundred twenty-nine thousand, seven hundred forty-four".